Solve 8.625-(1/4+5/8)-1.75

$$8.625-( \frac{ 1 }{ 4 } + \frac{ 5 }{ 8 } )-1.75$$

Evaluate

$$6$$

Solution Steps

Least common multiple of 4 and 8 is 8. Convert \frac{1}{4} and \frac{5}{8} to fractions with denominator 8.

$$8.625-\left(\frac{2}{8}+\frac{5}{8}\right)-1.75$$

Since \frac{2}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

$$8.625-\frac{2+5}{8}-1.75$$

Add 2 and 5 to get 7.

$$8.625-\frac{7}{8}-1.75$$

Convert decimal number 8.625 to fraction \frac{8625}{1000}. Reduce the fraction \frac{8625}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{69}{8}-\frac{7}{8}-1.75$$

Since \frac{69}{8} and \frac{7}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{69-7}{8}-1.75$$

Subtract 7 from 69 to get 62.

$$\frac{62}{8}-1.75$$

Reduce the fraction \frac{62}{8} to lowest terms by extracting and canceling out 2.

$$\frac{31}{4}-1.75$$

Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

$$\frac{31}{4}-\frac{7}{4}$$

Since \frac{31}{4} and \frac{7}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{31-7}{4}$$

Subtract 7 from 31 to get 24.

$$\frac{24}{4}$$

Divide 24 by 4 to get 6.

$$6$$

Factor

$$2\times 3$$